1047388496400 has 405 divisors, whose sum is σ = 3743740842933. Its totient is φ = 271165363200.

The previous prime is 1047388496389. The next prime is 1047388496431. The reversal of 1047388496400 is 46948837401.

The square root of 1047388496400 is 1023420.

It is a perfect power (a square), and thus also a powerful number.

1047388496400 is a `hidden beast` number, since 1 + 0 + 4 + 73 + 8 + 84 + 96 + 400 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 389420929296 + 657967567104 = 624036^2 + 811152^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2271992170 + ... + 2271992630.

Almost surely, 2^{1047388496400} is an apocalyptic number.

1047388496400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1047388496400 is the 1023420-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1047388496400

1047388496400 is an abundant number, since it is smaller than the sum of its proper divisors (2696352346533).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1047388496400 is an equidigital number, since it uses as much as digits as its factorization.

1047388496400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1020 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 1047388496400 in words is "one trillion, forty-seven billion, three hundred eighty-eight million, four hundred ninety-six thousand, four hundred".